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Finding the Third Proportional to 41,050 and 88,514

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Solution

The third proportional to 41,050 and 88,514 is: 190,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,050 : 88,514 = 88,514 : x
  2. Step 2: Convert to fraction form
    41,050/88,514 = 88,514/x
  3. Step 3: Cross multiply
    41,050x = 88,514 × 88,514
  4. Step 4: Simplify right side
    41,050x = 7,834,728,196
  5. Step 5: Solve for x
    x = 7,834,728,196/41,050
  6. Step 6: Final answer
    x = 190,858.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.